Answer:
Then we need to add (b/2)^2=49/4 to both sides to complete the square.
Add 49/4 to both sides.
x=−7/2 + 1/2√65 or x=−7/2 + -1/2√65
Explanation:
Let's solve your equation step-by-step.
x²+7x=4
Step 1: The coefficient of 7x is 7. Let b=7.
Then we need to add (b/2)^2=49/4 to both sides to complete the square.
Add 49/4 to both sides.
x²+7x+49/4=4+49/4
x²+7x+49/4=65/4
Step 2: Factor left side.
(x+7/2)2=65/4
Step 3: Take square root.
x+7/2=±√65/4
Step 4: Add (-7)/2 to both sides.
x+7/2+−7/2=−7/2±√65/4
x=−7/2±√65/4
x=−7/2 + 1/2√65 or x=−7/2 + -1/2√65